OK, Anne. I will go out and take a few pictures of my fabric floor. The first year I used those long "fabric-staples" sold at the big-box stores and made to tack down weed-fabric in the landscape. I used those staples about every 3' along the perimeter of the greenhouses. I no longer bother with that. Since all the fabric edges are under shelving and work-benches, walking on that fabric between my shelves/work-bench doesn't really move it at all. It just seems to stay put. Of course when I have my two greenhouses filled with plants, I have lots of plants/plant-trays sitting on the fabric, under my shelves. It sure won't move then. Right now, in my "Everything Else" greenhouse, I have several dozen plumeria rooting along one side of the greenhouse and rolled up solar blanket material sitting on the fabric along the other side. In the "Orchid" greenhouse, I have 5 gal. buckets filled with orchid potting material under the shelves, sitting on the fabric, again, "anchoring" the fabric. If you still have doubt, just use some fabric staples.
Forgive the quality of the "cleanliness" (these are working-greenhouses) and the coloration you see. The fabric is all black but the greenhouse shading gives it a different color. Oh, that glossy plastic you see at the entrance of my "Everything Else" greenhouse was floor matting, used to protect our floors from rolling office chairs. I just re-purposed it rather than throwing it away. I'm frugal!